[填空题]
A conical tank is beinii *s5u*:bt m7q m.bbag filled with water. T82jj*lfc yt,gnp9 6 s7i:cz+y6v ghidhe dimensions of the tank are shown in t9 jc8fd+piyvlijc6y s gn6 h*:27ztg,he following diagram.
1.Show that an expression for the volume, V, in the tank in terms of the water level height, h, is
$V=\frac{\pi h^{3}}{27}$
2. The tank is being filled at a rate of 1 $\mathrm{~m}^{3} \mathrm{~min}^{-1}$ . Find the rate of change of the water height h at the instant when the water level is 2 $\mathrm{~m}$ high.
the water level height is rising at a rate of m/min(Omit to three decimal places)
